Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976z |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
80609074027776 = 28 · 33 · 79 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11319,-168070] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:510:1] |
Generators of the group modulo torsion |
j |
574992/289 |
j-invariant |
L |
7.4557646684169 |
L(r)(E,1)/r! |
Ω |
0.4878439945723 |
Real period |
R |
1.9103865045295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952f2 59976e2 59976bb2 |
Quadratic twists by: -4 -3 -7 |